Geometry & Trigno revision WS 1.docx - Unit 3: Geometry and...

Unit 3: Geometry and Trigonometry
Revision Task
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1. A swimming pool with the dimensions shown is filled with water. The cost to fill
the pool is $0.15 per cubic metre of water. Find the cost of filling the pool.
2. A silo has a cylindrical part and a roof that is a hemisphere. The radius of the
cylinder is 3 m and its height is 12 m.
a. Find the volume of the silo,
b. The entire silo is to be painted. Find how much paint is needed if 1 L of paint
covers 8.5 m2 of surface.
3. A triangular field has boundaries of h length 170 m, 195 m and 210 m.
a. Find the size of the largest interior angle of the field.
b. Hence find the area of the field, correct to 3 sf.

4. In the following diagram, the plane h figure ABCD is part of a sector of a circle. OA
= AB = 8 cm and AOD = θ °.
Given that the area of ABCD is 200 cm2, determine the value of θ . Give your
answer correct to the nearest degree.